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vfiekz [6]
3 years ago
13

Use the slope of the given line to construct a parallel line

Mathematics
2 answers:
Troyanec [42]3 years ago
6 0

Answer:

y = - \frac{4}{3} x - 7

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slope m of the given line using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = \frac{-2-2}{3-0} = - \frac{4}{3}, thus

y = - \frac{4}{3} x + c ← is the partial equation

To find c substitute P(- 3, - 3) into the partial equation

- 3 = 4 + c ⇒ c = - 3 - 4 = - 7

y = - \frac{4}{3} x - 7 ← equation of parallel line

tatuchka [14]3 years ago
3 0

Answer:

put the point on position -2, -4

Step-by-step explanation: i just finished this question. and this was the right option

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The vertex form of the equation of
Ivan

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

4 0
3 years ago
At the pie eating contest, Max ate 2⁄5 of a pie and Jen ate 6⁄8 of a pie. How many pies did they eat all together?
Brums [2.3K]
I think you have to find a common multiple for the denominators 5 and 8 which would be 40. so it would be 6/40 and 2/40. then I think, you  would add or multiple, depending on the situation, 6 and 2
6 0
3 years ago
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Which word does not belong with the others?
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What are the words?
6 0
2 years ago
There were 8 pizzas at the pizza party for two families. The Houston family ate 2 2/3 pizzas.
ollegr [7]

Answer:2 pizzas

Step-by-step explanation:

2 2/3 and 2 5/6 can both be rounded to 3. Double that and you get 6. Since there were 8 pizzas originally,subtract 6 from 8 to get 2 remaining pizzas.

6 0
3 years ago
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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5
liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

Q(t) = Q(0)e^{rt}

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that Q(5730) = 0.5Q(0)

So

Q(t) = Q(0)e^{rt}

0.5Q(0) = Q(0)e^{5730r}

e^{5730r} = 0.5

\ln{e^{5730r}} = \ln{0.5}

5730r = \ln{0.5}

r = \frac{\ln{0.5}}{5730}

r = -0.00012

So

Q(t) = Q(0)e^{-0.00012t}

How old is the fossil?

This is t for which

Q(t) = 0.8Q(0)

So

Q(t) = Q(0)e^{-0.00012t}

0.8Q(0) = Q(0)e^{-0.00012t}

e^{-0.00012t} = 0.8

\ln{e^{-0.00012t}} = \ln{0.8}

-0.00012t = \ln{0.8}

t = -\frac{\ln{0.8}}{-0.00012}

t = 1860

The fossil is 1860 years old.

4 0
3 years ago
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